12007
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12008
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12006
- Möbius Function
- -1
- Radical
- 12007
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1439
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Largest prime == 7 (mod 8) with class number 2n+1.at n=17A002147
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=17A023283
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=32A023301
- Upper prime of a difference of 20 between consecutive primes.at n=25A031939
- Home primes in base 2: primes reached when you start with n and (working in base 2) concatenate its prime factors (A048985); repeat until a prime is reached (or -1 if no prime is ever reached). Answer is written in base 10.at n=15A048986
- Record primes reached in A048986.at n=4A049065
- Primes with 13 as smallest positive primitive root.at n=28A061326
- Primes p(x) satisfying the following conditions: (a) A082882(x)=1; (b) {p(x),p(x+1)} are not twin primes; (c) values of A075860(j) for j composites between these two non-twin primes are identical.at n=7A082883
- Smallest prime in kx^3+x+2 is prime.at n=47A114366
- a(n) = (n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36.at n=11A121888
- Associate each least prime signature value with the corresponding prime number.at n=44A133928
- Mother primes of order 11.at n=21A136070
- Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=16A138715
- Primes of the form 210k + 37.at n=27A140847
- Primes congruent to 19 mod 37.at n=41A142128
- Primes congruent to 35 mod 41.at n=33A142232
- Primes congruent to 10 mod 43.at n=30A142259
- Primes congruent to 22 mod 47.at n=33A142373
- Primes congruent to 2 mod 49.at n=36A142415
- Primes congruent to 29 mod 53.at n=29A142559